Final answer:
To find the side length of the base of the pyramid, use the volume of a pyramid formula, V = (1/3) × base area × height, and solve for the base area. After calculation, we find the side length is approximately 54.77 meters.
Step-by-step explanation:
To find the missing side length of the base of the square pyramid with a height of 15m and a volume of 15000m3, you can use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. Since the base of a square pyramid is a square, the base area can be represented as side length squared.
Therefore, V = (1/3) × (side length)2 × height. Plugging in the values we have:
15000m3 = (1/3) × (side length)2 × 15m
To find the side length, first multiply both sides by 3:
45000m3 = (side length)2 × 15m
Then, divide both sides by 15m:
3000m2 = (side length)2
Take the square root of both sides to find the side length:
side length = √3000m2
side length = 54.77m (rounded to two decimal places)
Therefore, the side length of the base is approximately 54.77 meters.